{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Explaining correlations with assumed or discovered causal models\n",
    "\n",
    "A common task in causal discovery is to justify and validate why an assumed or reconstructed causal network makes sense. Here we show how one can use the estimated graph to construct a model that explains the lagged correlation structure of the dataset. The steps are as follows\n",
    "\n",
    "1. Estimate (Markov equivalence class of) causal graph\n",
    "2. If Markov equivalence class has more than one member (unoriented edges occur), pick one member of the class, which can be automated\n",
    "3. Fit linear structural causal model to causal parents taken from graph\n",
    "4. Estimate noise covariance matrix of residuals\n",
    "5. Construct linear Gaussian structural causal model with this noise structure and generate many realizations with same sample size as data\n",
    "6. Show lagged correlations of original data with the (ensemble mean and confidence interval) lagged correlations of the generated data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline     \n",
    "\n",
    "import tigramite\n",
    "from tigramite import data_processing as pp\n",
    "from tigramite.toymodels import structural_causal_processes as toys\n",
    "\n",
    "from tigramite.toymodels import surrogate_generator \n",
    "\n",
    "from tigramite import plotting as tp\n",
    "from tigramite.pcmci import PCMCI\n",
    "from tigramite.independence_tests.parcorr import ParCorr\n",
    "from tigramite.models import Models, Prediction\n",
    "\n",
    "import math\n",
    "import sklearn\n",
    "from sklearn.linear_model import LinearRegression\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 0. Generate some example process with contemporaneous dependencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(14)     # Fix random seed\n",
    "lin_f = lambda x: x\n",
    "links_coeffs = {0: [((0, -1), 0.7, lin_f)],\n",
    "                1: [((1, -1), 0.8, lin_f), ((0, -1), 0.3, lin_f)],\n",
    "                2: [((2, -1), 0.5, lin_f), ((0, -2), -0.5, lin_f)],\n",
    "                3: [((3, -1), 0., lin_f)], #, ((4, -1), 0.4, lin_f)],\n",
    "                4: [((4, -1), 0., lin_f), ((3, 0), 0.5, lin_f)], #, ((3, -1), 0.3, lin_f)],\n",
    "                }\n",
    "T = 200     # time series length\n",
    "# Make some noise with different variance, alternatively just noises=None\n",
    "noises = np.array([(1. + 0.2*float(j))*np.random.randn((T + int(math.floor(0.2*T)))) \n",
    "                   for j in range(len(links_coeffs))]).T\n",
    "\n",
    "data, _ = toys.structural_causal_process(links_coeffs, T=T, noises=noises, seed=14)\n",
    "T, N = data.shape\n",
    "\n",
    "# For generality, we include some masking\n",
    "# mask = np.zeros(data.shape, dtype='int')\n",
    "# mask[:int(T/2)] = True\n",
    "mask=None\n",
    "\n",
    "# Initialize dataframe object, specify time axis and variable names\n",
    "var_names = [r'$X^0$', r'$X^1$', r'$X^2$', r'$X^3$', r'$X^4$']\n",
    "dataframe = pp.DataFrame(data, \n",
    "                         mask=mask,\n",
    "                         datatime = {0:np.arange(len(data))}, \n",
    "                         var_names=var_names)\n",
    "tp.plot_timeseries(dataframe=dataframe); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "Now let's look at the lagged correlations matrix. We want to find a structural causal model that explains it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 25 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau_max = 10\n",
    "parcorr = ParCorr(significance='analytic', \n",
    "#                   mask_type='y'\n",
    "                 )\n",
    "pcmci = PCMCI(\n",
    "    dataframe=dataframe, \n",
    "    cond_ind_test=parcorr,\n",
    "    verbosity=0)\n",
    "original_correlations = pcmci.get_lagged_dependencies(tau_max=tau_max, val_only=True)['val_matrix']\n",
    "lag_func_matrix = tp.plot_lagfuncs(val_matrix=original_correlations, setup_args={'var_names':var_names, \n",
    "                                    'x_base':5, 'y_base':.5}); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Estimate (Markov equivalence class of) causal graph\n",
    "\n",
    "Here we run PCMCI+ with some reasonable `tau_max` and `pc_alpha`. Of course, the estimated model will slightly depend on these parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results = pcmci.run_pcmciplus(tau_max=tau_max, pc_alpha=0.01)\n",
    "tp.plot_graph(results['graph']); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. If Markov equivalence class has more than one member (unoriented edges occur), pick one member of the class, which can be automated\n",
    "\n",
    "The result of PCMCI+ is a CPDAG (unoriented edge occurs). We pick one DAG member of this class with some internal functions. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First create order that is based on some feature of the variables\n",
    "# to avoid order-dependence of DAG, i.e., it should not matter\n",
    "# in which order the variables appear in dataframe\n",
    "# Here we use the sum of absolute val_matrix values incident at j\n",
    "val_matrix = results['val_matrix']\n",
    "variable_order = np.argsort(\n",
    "                    np.abs(val_matrix).sum(axis=(0,2)))[::-1]\n",
    "\n",
    "# Transform conflicting links to unoriented links as a hack, might not work...\n",
    "graph = results['graph']\n",
    "graph[graph=='x-x'] = 'o-o'\n",
    "dag = pcmci._get_dag_from_cpdag(\n",
    "                cpdag_graph=graph,\n",
    "                variable_order=variable_order)\n",
    "\n",
    "tp.plot_graph(dag); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following steps are all wrapped in the function ``generate_linear_model_from_data`` from the module   ``toymodels.surrogate_generator``.\n",
    "\n",
    "## 3. Fit linear structural causal model to causal parents taken from graph\n",
    "\n",
    "Using the Prediction class which calls Models().\n",
    "\n",
    "## 4. Estimate noise covariance matrix of residuals\n",
    "\n",
    "Using the Prediction class.\n",
    "\n",
    "## 5. Construct linear Gaussian structural causal model with this noise structure "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: [(0, -1)], 1: [(0, -1), (1, -1)], 2: [(0, -2), (2, -1)], 3: [], 4: [(3, 0)]}\n"
     ]
    }
   ],
   "source": [
    "parents = toys.dag_to_links(dag)\n",
    "print(parents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now generate many realizations with same sample size as data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "realizations = 100\n",
    "\n",
    "generator = surrogate_generator.generate_linear_model_from_data(dataframe, parents, tau_max, realizations=realizations, \n",
    "                generate_noise_from='covariance')\n",
    "datasets = {}\n",
    "for r in range(realizations):\n",
    "    datasets[r] = next(generator)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Show lagged correlations of original data with the (ensemble mean and confidence interval) lagged correlations of the generated data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "correlations = np.zeros((realizations, N, N, tau_max + 1))\n",
    "for r in range(realizations):\n",
    "    pcmci = PCMCI(\n",
    "        dataframe=pp.DataFrame(datasets[r]), \n",
    "        cond_ind_test=ParCorr(),\n",
    "        verbosity=0)\n",
    "    correlations[r] = pcmci.get_lagged_dependencies(tau_max=tau_max, val_only=True)['val_matrix']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get mean and 5th and 95th quantile\n",
    "correlation_mean = correlations.mean(axis=0)\n",
    "correlation_interval = np.percentile(correlations, q=[5, 95], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x720 with 25 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot lag functions of mean and 5th and 95th quantile together with original correlation in one plot\n",
    "lag_func_matrix = tp.setup_matrix(N=N, tau_max=tau_max, x_base=5, figsize=(10, 10), var_names=var_names)\n",
    "lag_func_matrix.add_lagfuncs(val_matrix=correlation_mean, color='black')\n",
    "lag_func_matrix.add_lagfuncs(val_matrix=correlation_interval[0], color='grey')\n",
    "lag_func_matrix.add_lagfuncs(val_matrix=correlation_interval[1], color='grey')\n",
    "lag_func_matrix.add_lagfuncs(val_matrix=original_correlations, color='red')\n",
    "lag_func_matrix.savefig(name=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original lag function in red should now be roughly inside the 90% range (grey) of the correlations of the generated data. Voila, this means that a linear Gaussian model with the same links (and estimated coefficients and noise structure) as those from the reconstructed causal graph can well explain the whole lagged correlation structure of the original data. Hence, it is a causal parsimonious model that explains the data.\n",
    "\n",
    "Finally, we can also show the (convoluted) correlation graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pcmci = PCMCI(\n",
    "    dataframe=dataframe, \n",
    "    cond_ind_test=parcorr,\n",
    "    verbosity=0)\n",
    "original_correlations_pvals = pcmci.get_lagged_dependencies(tau_max=tau_max)['p_matrix'] \n",
    "tp.plot_graph(graph=original_correlations_pvals<=0.01); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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